In this seminar, I will focus on bijective digitized rotations in 2D and 3D. In the first part, I will present several new methods to approximate digitized rotations with bijective transformations. These methods, along with several classical approaches, are compared both in terms of accuracy with respect to Euclidean rotations and in terms of computational complexity. In the second part, I will focus on the characterization of bijective digitized rotations in 3D. While this characterization is well known in 2D, its extension to 3D remains an open problem. To address this, I will particularly focus on 3D non-surjective digitized reflections. Finally, some experimental results obtained with DGtal will be presented.